Question

four students tried to create factor rainbows for the number 81.
complete the statements below about the number 81.
rainbow a
1
81
rainbow b
1
9
81
rainbow c
1
9
36
45
72
81
rainbow d
1
3
9
27
81
the factor rainbow that shows the correct factors of 81 is rainbow dv.
the number 81 has
less than two
exactly two
more than two
factors.
the number 81 is
less than two
exactly two
more than two

Explanation:

First, determine the number of factors of 81:

1. Find the factors of 81:

• Start with 1 and 81: \(1\times81 = 81\)
• Then 3: \(3\times27 = 81\)
• Then 9: \(9\times9 = 81\)
• So the factors of 81 are 1, 3, 9, 27, 81.

1. Count the factors:

• The factors are 1, 3, 9, 27, 81. That's 5 factors.

Now, determine the type of number (based on number of factors):

• A prime number has exactly two factors (1 and itself).
• A composite number has more than two factors.
• Since 81 has 5 factors (which is more than two), it's a composite number.

Step1: Find factors of 81

Factors of 81: \(1, 3, 9, 27, 81\)

Step2: Count the factors

There are 5 factors, which is more than two.

A prime number has exactly two factors. 81 has 5 factors (more than two), so it's composite (has more than two factors).

Answer:

s:

• The number 81 has more than two factors.
• The number 81 is a composite number (so the option "more than two" for the number of factors, and for the "is" part, it's a composite number, but based on the dropdown, the correct choice for the number of factors is "more than two").

For the number of factors: